Can you give me just a hint to calculate the following limit? $$\lim_{n\to\infty}\frac{1}{(\ln n)^{\ln n}}$$ I am trying using the squeeze rule without success. I tried also l'Hopital but the limit become tougher.
Thank you.
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Sign up to join this community$\ln(n) \rightarrow \infty$ as $n \rightarrow \infty$. So, $\ln(n)^{\ln(n)} \rightarrow \infty$ as $n \rightarrow \infty$. Hence the limit is $0$.
\ln
instead of $ln$ made by typing ln
.
$\endgroup$
– user93957
Jan 26 '14 at 19:06
->
, write $\to$ by typing\to
or\rightarrow
. $\endgroup$ – user93957 Jan 26 '14 at 19:04